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Question

Use the data to (a) find the coefficient of determination $r^2$ and interpret the result, and (b) find the standard error of estimates, and interpret the result. The table shows the combined city and highway fuel efficiency (in miles per gallon gasoline equivalent) and top speeds (in miles per hour) for nine hybrid and electric cars. The regression equation is $\hat{y}=-0.465 x+139.433$

$\begin{matrix} \text{Fuel efficiency, x} & \text{114} & \text{95} & \text{120} & \text{105} & \text{107} & \text{116} & \text{118} & \text{68} & \text{84}\\ \text{Top speed, y} & \text{80} & \text{103} & \text{78} & \text{85} & \text{92} & \text{88} & \text{92} & \text{105} & \text{101}\\ \end{matrix}$

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